3(x+8)=5(x-2)-8

Simple and best practice solution for 3(x+8)=5(x-2)-8 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 3(x+8)=5(x-2)-8 equation:


Simplifying
3(x + 8) = 5(x + -2) + -8

Reorder the terms:
3(8 + x) = 5(x + -2) + -8
(8 * 3 + x * 3) = 5(x + -2) + -8
(24 + 3x) = 5(x + -2) + -8

Reorder the terms:
24 + 3x = 5(-2 + x) + -8
24 + 3x = (-2 * 5 + x * 5) + -8
24 + 3x = (-10 + 5x) + -8

Reorder the terms:
24 + 3x = -10 + -8 + 5x

Combine like terms: -10 + -8 = -18
24 + 3x = -18 + 5x

Solving
24 + 3x = -18 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.
24 + 3x + -5x = -18 + 5x + -5x

Combine like terms: 3x + -5x = -2x
24 + -2x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -2x = -18 + 0
24 + -2x = -18

Add '-24' to each side of the equation.
24 + -24 + -2x = -18 + -24

Combine like terms: 24 + -24 = 0
0 + -2x = -18 + -24
-2x = -18 + -24

Combine like terms: -18 + -24 = -42
-2x = -42

Divide each side by '-2'.
x = 21

Simplifying
x = 21

See similar equations:

| 4a+7=10-5a | | 3t+6=0 | | -1(x^2-2x)+0=0 | | b+35=-1 | | -n-2=5-n | | (x^2)+4X+11=0 | | -13+16x^2=0 | | 7(x-8)=8(x-3)-5 | | 4x^2+28=72 | | 28=4g-4 | | 55+220x=2695 | | -3(4z+4)=4(-3z-3) | | (10n+10)-2=48 | | 3+2.5x=10 | | 16+5w=31 | | -2(x-2)=2[x-4(x-2)+x] | | (3x+5)+(4x-1)= | | (5x^3+2x-7)-(2x^2-4x-3)= | | 5x^3+20x=2 | | .20(2v-3)=.40v-10 | | 10+13x=32 | | 12-4u=10-3u | | x-(2x+1)(x-2)(2x-3)=63 | | 3z-2(z-8)=3+2z | | a+2(a-4)=13 | | 4w-24=3 | | -9c-90=-9(c+10) | | -4-8(-4x-1)=-21+7x | | p+11=-31 | | 2+n=5 | | (2x-1)=14 | | 2p^2=-3p-1 |

Equations solver categories